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Finding the Third Proportional to 76,314 and 165,764

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Solution

The third proportional to 76,314 and 165,764 is: 360,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314 : 165,764 = 165,764 : x
  2. Step 2: Convert to fraction form
    76,314/165,764 = 165,764/x
  3. Step 3: Cross multiply
    76,314x = 165,764 × 165,764
  4. Step 4: Simplify right side
    76,314x = 27,477,703,696
  5. Step 5: Solve for x
    x = 27,477,703,696/76,314
  6. Step 6: Final answer
    x = 360,061.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.